Constraining the generalized uncertainty principle with the atomic weak-equivalence-principle test

Abstract

Various models of quantum gravity imply the Planck-scale modifications of Heisenberg's uncertainty principle into a so-called generalized uncertainty principle (GUP). The GUP effects on high-energy physics, cosmology, and astrophysics have been extensively studied. Here, we focus on the weak-equivalence-principle (WEP) violation induced by the GUP. Results from the WEP test with the ${}^{85}$Rb-${}^{87}$Rb dual-species atom interferometer are used to set upper bounds on parameters in two GUP proposals. A $10^{45}$-level bound on the Kempf-Mangano-Mann proposal, and a $10^{27}$-level bound on Maggiore's proposal, which are consistent with bounds from other experiments, are obtained. All these bounds have huge room for improvement in the future.

7 pages, 1 figure

References in corpus (10)

• The Confrontation between General Relativity and Experiment
• Atom Interferometers
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Universality of Quantum Gravity Corrections
• New determination of the fine structure constant and test of the quantum electrodynamics
• Testing General Relativity with Atom Interferometry
• Quantum Test of the Universality of Free Fall
• Test of Equivalence Principle at $10^{-8}$ Level by a Dual-species Double-diffraction Raman Atom Interferometer
• Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms
• Constraining the generalized uncertainty principle with cold atoms

Cited by in corpus (13)

• Testing gravity with cold atom interferometry: Results and prospects
• Generalized Uncertainty Principle, Black Holes, and White Dwarfs: A Tale of Two Infinities
• 30 years in: Quo vadis generalized uncertainty principle?
• GUP parameter from Maximal Acceleration
• Nonextensive Black Hole Entropy and Quantum Gravity Effects at the Last Stages of Evaporation
• Generalized Uncertainty Principle and White Dwarfs Redux: How Cosmological Constant Protects Chandrasekhar Limit
• Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations
• Generalized Uncertainty Principle Impact on Nonextensive Black Hole Thermodynamics
• Observational Tests of the Generalized Uncertainty Principle: Shapiro Time Delay, Gravitational Redshift, and Geodetic Precession
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Weak equivalence principle and nonrelativistic limit of general dispersion relations
• Quantum speed limit as a sensitive probe of Planck-scale effects
• Thermodynamics of spacetime from minimal area